Finite-time dissipative control for discrete-time stochastic delayed systems with Markovian switching and interval parameters

被引：18

作者：

Chen, Guici ^{[1
,2
]}

Yang, Jinrong ^{[2
]}

Zhou, Xin ^{[2
]}

机构：

[1] Wuhan Univ Sci & Technol, Hubei Prov Key Lab Syst Sci Met Proc, Wuhan 430065, Peoples R China

[2] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430065, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2022年 / 110卷

基金：

中国国家自然科学基金;

关键词：

Stochastic delayed system; Markovian switching; Interval parameter; Finite-time boundedness; Dissipative control; H-INFINITY CONTROL; NEURAL-NETWORKS; EXPONENTIAL STABILITY; JUMP SYSTEMS; PASSIVITY ANALYSIS; SYNCHRONIZATION; STABILIZATION; SUBJECT;

D O I：

10.1016/j.cnsns.2022.106352

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of finite-time dissipative control for discrete-time stochastic delayed systems (DTSDSs) with Markovian switching and interval parameters is studied in this paper. Firstly, DTSDSs are equivalently transformed into discrete-time uncertain stochastic delayed systems, whose interval parameters are described by a series of convex combinations of the endpoints information. Then, finite-time stochastic boundedness (FTSB) and finite-time stochastic exponential (Q(i), S-i, R-i) - alpha dissipative (FTSED) are analysed by constructing a discrete-time Lyapunov-Krasovskii functional. Correspondingly, several sufficient conditions are obtained in terms of Linear Matrix Inequalities (LMIs). Furthermore, the delay-feedback controllers with memory are designed such that the finite-time dissipative performance of the DTSDSs is satisfied. Finally, the proposed results are validated through a switching energy-storing electrical circuit. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：13

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